Delay-dependent Control Synthesis of Stochastic Takagi-Sugeno Fuzzy Systems with Input Time-Delays
This paper is concerned with the problem of control synthesis of stochastic T-S fuzzy systems with state and input delays. The main purpose is to design a statefeedback fuzzy controller such that the resulting closed-loop system is asymptotically stable in the mean square, which is delay-dependent for state delay and delay-independent for input delay. Those terms containing the delayed fuzzy membership function which are caused by the presence of the input delay are compensated in favor of applying relaxed quadratic stabilization conditions. Furthermore, all the stabilization conditions are presented in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the approaches proposed in this paper.
Stochastic systems Fuzzy systems Input delays Linear matrix inequalities(LMIs).
Yongsheng Chen Xiaopeng Xie
College of Mathematics, Jilin Normal University, Siping 136000, China
国际会议
2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)
四川绵阳
英文
3516-3521
2011-05-23(万方平台首次上网日期,不代表论文的发表时间)